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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 518 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Is 6/(−9) positive or negative? (a) Positive (b) Negative
  2. 2.What is (−5/6) + (−3/5)? (a) 43/30 (b) −8/11 (c) −43/30 (d) −7/30
  3. 3.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) −25/45 (b) 5/9 (c) −9/5 (d) −5/9
  4. 4.Which is bigger: −2/3 or 1/6? (a) −2/3 (b) 1/6
  5. 5.What is 2/3 − (−8/9)? (a) 5/6 (b) −2/9 (c) −14/9 (d) 14/9
  6. 6.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  7. 7.What is (−4/5) − (−4/5)? (a) −8/5 (b) 0
  8. 8.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −30/48 (d) −5/8
  9. 9.What is the additive inverse of −3/7? (a) 7/3 (b) −7/3 (c) −3/7 (d) 3/7
  10. 10.What is (−3/5) − (−3/4)? (a) −3/20 (b) 0 (c) −27/20 (d) 3/20
  11. 11.What is the additive inverse of −3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  12. 12.What is the reciprocal (multiplicative inverse) of 1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  13. 13.Which is smaller: −4/7 or −2/3? (a) −2/3 (b) −4/7
  14. 14.Which is bigger: −2/9 or 3/5? (a) 3/5 (b) −2/9
  15. 15.Is 3/5 positive or negative? (a) Positive (b) Negative
  16. 16.What is the reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  17. 17.What is (−1/8) − 4/5? (a) 27/40 (b) 37/40 (c) −5/13 (d) −37/40
  18. 18.Which is smaller: −2/3 or 1/3? (a) 1/3 (b) −2/3
  19. 19.What is the additive inverse of −3/4? (a) −3/4 (b) −4/3 (c) 4/3 (d) 3/4
  20. 20.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) 4/9 (d) −8/18
  21. 21.What is the additive inverse of −4/9? (a) −4/9 (b) −9/4 (c) 9/4 (d) 4/9
  22. 22.What is the additive inverse of 1/7? (a) 7 (b) −7 (c) −1/7 (d) 1/7
  23. 23.What is 2/7 − (−5/6)? (a) 47/42 (b) −23/42 (c) 7/13 (d) −47/42
  24. 24.What is the additive inverse of −1/6? (a) −6 (b) −1/6 (c) 6 (d) 1/6
  25. 25.What is 1/8 − (−3/7)? (a) 4/15 (b) 31/56 (c) −31/56 (d) −17/56
  26. 26.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −4/7 (b) 4/7 (c) −20/35 (d) −7/4
  27. 27.What is (−6/7) + 5/7? (a) 1/7 (b) −1/7 (c) −1/14 (d) −11/7
  28. 28.Which is bigger: −7/9 or 1/4? (a) −7/9 (b) 1/4
  29. 29.What is the additive inverse of 3/7? (a) −7/3 (b) 3/7 (c) −3/7 (d) 7/3
  30. 30.Which is smaller: −7/9 or −1/6? (a) −7/9 (b) −1/6
  31. 31.What is (−1/3) + 2/5? (a) −1/15 (b) −11/15 (c) 1/15 (d) 1/8
  32. 32.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −2/18 (c) −9/1 (d) −1/9
  33. 33.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) 5/6 (d) −25/30
  34. 34.Which is bigger: −1/8 or −2/9? (a) −2/9 (b) −1/8
  35. 35.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−3/4) − 3/5? (a) −3/20 (b) −27/20 (c) −2/3 (d) 27/20
  37. 37.Is −1/9 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−1/9) + (−5/7)? (a) 38/63 (b) −3/8 (c) −52/63 (d) 52/63
  39. 39.Which is bigger: −1/4 or 1/2? (a) −1/4 (b) 1/2
  40. 40.Write −15/20 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −15/20 (c) −4/3 (d) −3/4

Answer key

  1. Negative
  2. −43/30
  3. −5/9
  4. 1/6
  5. 14/9
  6. Positive
  7. 0
  8. −5/8
  9. 3/7
  10. 3/20
  11. 3/8
  12. 3
  13. −2/3
  14. 3/5
  15. Positive
  16. −6
  17. −37/40
  18. −2/3
  19. 3/4
  20. −4/9
  21. 4/9
  22. −1/7
  23. 47/42
  24. 1/6
  25. 31/56
  26. −4/7
  27. −1/7
  28. 1/4
  29. −3/7
  30. −7/9
  31. 1/15
  32. −1/9
  33. −5/6
  34. −1/8
  35. Negative
  36. −27/20
  37. Negative
  38. −52/63
  39. 1/2
  40. −3/4

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